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Search: id:A084808
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| A084808 |
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Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=1/2+I*sqrt(2). |
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+0
3
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| 1, 4, 6, 8, 10, 13, 17, 21, 25, 31, 36, 43, 50, 57, 65, 73, 82, 92, 102, 113, 124, 136, 148, 161, 174, 188, 203, 218, 233, 249, 266, 283, 301, 319, 338, 358, 377, 398, 419, 440, 462, 485, 508, 532, 556, 581, 606, 632, 659, 686, 713, 741, 770, 799, 828, 859, 889
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Sequence satisfies sum(n>0,1/a(n)^z)=0 by requiring that the modulus of the successive partial sums are monotonically decreasing in magnitude for the given z.
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PROGRAM
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(PARI) S=0; w=1; a=0; for(n=1, 100, b=a+1; while(abs(S+exp(-z*log(b)))>w, b++); S=S+exp(-z*log(b)); w=abs(S); a=b; print1(b, ", "))
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CROSSREFS
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Cf. A084799-A084807, A084809-A084810.
Adjacent sequences: A084805 A084806 A084807 this_sequence A084809 A084810 A084811
Sequence in context: A073670 A090169 A087684 this_sequence A031020 A087270 A075124
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2003
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